Logarithms: seeking lessons on expanding, condensing

[Bladesofhalo]

Can someone explain how to condense and expand logarithmic expressions? My book does not explain general rules; it only shows how to do a sample problem, which does not really evince how to do it.

 

[stapel]

I'm afraid we cannot reasonably provide the requested lesson within this environment. (We can help students work through specific exercises, but even this assumes that the student is basically familiar with the underlying concepts and formulas.)

The short version is:

. . . . .log_b(xy) = log_b(x) + log_b(y)

. . . . .log_b(x/y) = log_b(x) - log_b(y)

. . . . .log_b(xⁿ) = n log_b(x)

For further information, please review some of the lessons available online.

Thank you.

Eliz.